Pith Number

pith:QNX5KWHY

pith:2018:QNX5KWHYYWJ3DQHY2KOOBOKWSW

not attested not anchored not stored refs pending

A Local Limit Theorem for Cliques in G(n,p)

Ross Berkowitz

arxiv:1811.03527 v1 · 2018-11-08 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNX5KWHYYWJ3DQHY2KOOBOKWSW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:15.862620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836fd558f8c593b1c0f8d29ce0b956958c34ae70716b8e2406ee861117cb6209

Aliases

arxiv: 1811.03527 · arxiv_version: 1811.03527v1 · doi: 10.48550/arxiv.1811.03527 · pith_short_12: QNX5KWHYYWJ3 · pith_short_16: QNX5KWHYYWJ3DQHY · pith_short_8: QNX5KWHY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QNX5KWHYYWJ3DQHY2KOOBOKWSW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 836fd558f8c593b1c0f8d29ce0b956958c34ae70716b8e2406ee861117cb6209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b7efff7b7a3dee3f877d005c3a42a8d2bf4d3ef529ea003e3aeab9580a057a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-08T16:16:46Z",
    "title_canon_sha256": "dca4deef9c24ea5ad363c6df243f8189fe57fdd1e11330d4cc8750dcd1a8e111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03527",
    "kind": "arxiv",
    "version": 1
  }
}